Answer:
the answer to this question is 11
how many three-letter initials with none of the letters repeated can people have?
To find the number of three-letter initials with none of the letters repeated, we need to consider the number of choices for each position in the initials.
To determine the number of three-letter initials with none of the letters repeated, we can analyze each position in the initials. For the first letter, we have 26 choices since there are 26 letters in the English alphabet.
After selecting the first letter, for the second letter, we have 25 choices remaining since we cannot repeat the letter used in the first position. Similarly, for the third letter, we have 24 choices remaining since we cannot repeat either of the previous letters.
Therefore, the total number of three-letter initials with none of the letters repeated can be found by multiplying the number of choices for each position: 26 * 25 * 24 = 15,600. Hence, there are 15,600 different three-letter initials that people can have if none of the letters are repeated.
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If triangle DEF is congruent to triangle GJH, find each missing angle?
Answer
<F = 105°
<G = 41°
<J = 34°
GJ = 19m
JH =14m
GH = 16m
Step-by-step explanation:
Since triangle DEF is congruent to triangle GJH, the following are true
<D = <G
<E = <J
<F = <H
Given
<H = 105°
Hence <F = 105°
Also <E = 34° =<J
From ∆GHJ
<G+<H+<J = 180°
<G+105+34 = 180°
<G + 139 =180
<G= 180-139
<G = 41°
Get the sides. For the sides, the following are true
DE = GJ = 19m
Also EF =JH = 14m
DF =GH = 16m
4y - 9 = 3 what is y
A man buy a houe for $175,000. He make a $75,000 down payment and amortize the ret of the debt with emiannual payment over the next 10 year. The interet rate on the debt i 12%, compounded emiannually. FInd: (a) the ize of each payment, (b) the total amount paid over the life of the loan, and (c) the total interet paid over the life of the loan
a) The size of each payment = $8718.4
b) The the total amount paid for the purchase = $204620.8
c) The total interest paid over the life of the loan = $104620.8
In this question we have been given that a man buys a house for $175,000. He makes a $75,000 down payment and amortizes the rest of the debt with semiannual payment sover the next 10 years. The interest rate on the debt is 12%, compounded semiannually.
We need to find the size of each payment, the total amount paid for the purchase and the total interest paid over the life of the loan.
From given data we get 175,000 - 75,000 = $100,000 amount to finance.
We know that the formula for semiannual payment of a loan,
C = PV/[1 - (1 + r)^-t / r]
Here, PV = $100,000
t = 20 (10 years times 2 payment per year)
r = 0.06 (12% annual. so, we divide by 2 to get semiannual)
So, C = 100,000/[1 - (1 + 0.06)^-20 / 0.06]
C = 100,000/[0.6882 / 0.06]
C = 100,000/11.47
C = $8718.4
The total interest paid will be the cuota times the time of the loan:
Total interest paid:
8718.4 x 12 = 104620.8
And the total amount paid over the life of the loan = 104620.8 + 100,000
= $204620.8
The interest will be the difference between the total amount paid and the principal of the loan
Therefore, Interest paid = $8718.4
total payment = $204620.8
principal = $100,000
Interest expense = $104620.8
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Find the lengths of the unlabeled sides. URGENT!!!
Answer:
10 (also look at attachment)
Step-by-step explanation:
this is a right-angled triangle. the one given angle is the little square. that means it is 90°.
Pythagoras’ Theorem:
In a right-angled triangle, a ² + b ² = c ²
our missing side is (let's call it c) is
c² = 8² + 6²
= (8 X 8) + (6 X 6)
= 64 + 36
= 100
so c² = 100. but we want c.
c = √100 = 10.
the unlabelled side is the square root of 100 which equals 10
please help, i am not good at maths, brainiest will be given
Answer:
Modal average is the number that appears the most
Modal average: 3
1+2+3+4+5=15
15/3= Mean: 3
Step-by-step explanation:
add all the bedrooms and divide that sum by the number of numbers added. That's the mean.
Hope this helps.
A) 4 is the mode of the table
B)
1+2+3+4+5=15
15/5=3
These tables of ordered pairs represent some points on the graphs of lines p and r.
Which system of equations is represented by lines p and r?
9x−4y=−92x+4y=15
3x−y=−127x+3y=21
2x−y=−82x+y=7
x−2y=−86x+5y=30
Line p
x y
−3 2
0 8
4 16
Line r
x y
−5 17
2 3
5 −3
Answer:
The answer above mine is correct and here is why.
Step-by-step explanation:
Please rate this answer choice 5 stars and leave a thanks, You do not need an acount to do this.one day jasmine earned 25.20 for earned 6 hours of work another day she earned 16.80 fir 4 hours of work witch function shows how much jasmine earns (c) for working (h) hours
c+ h = -4.20 (hours) + 49.20 shows how much jasmine earns (c) for working (h) hours
Let's assume that Jasmine earns at a constant rate per hour of work. We can use the formula for the equation of a line, y = mₓ + b, where y represents the amount of money earned, x represents the number of hours worked, m represents the rate of earnings per hour, and b represents the y-intercept or the amount of money earned without working. We can use the two points given in the problem to find the slope, m, of the line:
m = (y₂ - y₁) / (x₂ - x₁)
m = (16.80 - 25.20) / (4 - 6)
m = -4.20
Now that we know the slope, we can use either point and the slope to find the y-intercept, b:
y = mₓ + b
25.20 = -4.20 × (6) + b
b = 49.20
Therefore, the equation that represents Jasmine's earnings is:
c + h = -4.20 hours + 49.20
This function shows how much Jasmine earns, c, for working h hours.
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NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!
Please help me with this question
The number of combinations to define a 4-member committee will be 70.
What are the permutation and combination?Let 'x' be the number of things chosen out of 'n' number of things. Then the combination is given as,
ⁿCₓ = n! / [(n - x)! · x!]
And the permutation is written as,
ⁿPₓ = n! / [(n - x)!]
The committee of 4 people is chosen out of 8 people. Then the number of combinations is given as,
⁸C₄ = 8! / [(8 - 4)! · 4!]
⁸C₄ = (8 × 7 × 6 × 5 × 4!) / (4 × 3 × 2 × 1 × 4!)
⁸C₄ = (8 × 7 × 6 × 5) / (4 × 3 × 2 × 1)
⁸C₄ = 1680 / 24
⁸C₄ = 70
The number of combinations to define a 4-member committee will be 70.
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-7 times a = 14? a = -7, right?
Answer:
− 7 ⋅ a
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
Answer:
a = -2
Step-by-step explanation:
-7 * -2 = 14
What is m∠H? (Must give Explanation)
Answer:
95°
Step-by-step explanation:
(x+49)+(x+59)=180
2x+108=180
2x=72
x=36
36+59=95
lestion 7 In presenting Resource-Advantage (RA) theory, Hunt and Lambe (2000) use a boxes-and- ot yet niswered oints out of arrows diagram called, "A Schematic of RA Theory of Competition, These boxes are 00 a. Resources, Debt, Financial Performance y Flag question b. Debt, Market Position, Financial Performance c. none of the above d. Resources, Market Position, Debt e. Resources, Market Position. Financial Performance
The correct combination of boxes in the diagram is: Resources, Market Position, and Debt. These three elements are central to the RA theory and are interconnected in their influence on a firm's competitive advantage and performance.
In presenting Resource-Advantage (RA) theory, Hunt and Lambe (2000) use a boxes-and-arrows diagram called "A Schematic of RA Theory of Competition." This diagram illustrates the key elements of the theory and their relationships. The boxes in the diagram represent important components or factors, while the arrows indicate the directional relationships between these components.
Resources refer to the tangible and intangible assets that a firm possesses, including physical, financial, human, and intellectual resources. These resources provide the foundation for a firm's competitive advantage and can include factors such as technology, brand reputation, skilled workforce, and financial capital.
Market Position represents a firm's strategic positioning within its target market. It encompasses factors such as customer perceptions, market share, competitive differentiation, and market reputation. A strong market position enables a firm to leverage its resources effectively and gain a competitive edge.
Debt refers to the financial obligations or liabilities that a firm has, including loans, bonds, and other forms of debt financing. Debt can impact a firm's financial performance and stability, as well as its ability to invest in resources and maintain its market position.
By considering the interplay between resources, market position, and debt, the RA theory emphasizes how firms can leverage their resource advantages to strengthen their market position and achieve better financial performance. This framework highlights the importance of aligning these elements strategically and efficiently managing resources and debt to gain a sustainable competitive advantage in the marketplace.
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In the diagram below, a circle O diameter, AB and radii OC are drawn. The length of AB is 12 in the measure of angle COD is 20°. if AC is congruent to BD find the area of a sector BOD in terms of pi.
Answer: = 8\(\pi\)
Step-by-step explanation:
The length of AB is 12, which is the diameter, so
r=6
You need to find the angle of BOD. It is on the bottom half. Also, AOC is the same angle
180-20 =160 now divide by 2
<BOD=80
In order to find area you multiply the fractional portion by the area
A(BOD) = \(\frac{80}{360} \pi r^{2}\)
=\(\frac{8}{36} \pi 6^{2}\) I reduced by 10 and the 36's cancel out
= 8\(\pi\)
Use a sales tax rate of 7%.Estimate the total cost for each item.a bicycle that costs $129
Answer:
$138.03
Step-by-step explanation:
1.07*129 =138.03 represents an increase of 7%
Please all the steps, one by one! How can this be solved?
There are 5 full square and 6 triangles that are half squares.
5 + (6)(1/2) = 5 + 3 = 8
You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area. But counting works well in this example.
Answer: 8
Step-by-step explanation:
First you split up this shape into two different shapes, a triangle and trapezoid
Put a line through the coordinates (-2,2) to (-1,2); the top is a triangle and the other is a trapezoid
Area of the trapezoid is A = .5x (base1 + base2) x height
base1 of the trapezoid goes from -4 to -1 which is 3
base2 goes from -2 to -1 which is 1
height is 0 to 2 whcich is 2
A = .5 x (3+1) x 2 = 4
Now area of a triangle is A = .5 x base x height
the base goes from -2 to 2 which is 4
the height goes from 2 to 4 which is 2
A = .5 x (4) x (2) = 4
Area of the Trapezoid + Area of the Triangle = Total Area
4 + 4 = 8
If
A
=2
i
^
+3
j
^
+
k
^
m,
B
=
i
^
+4
j
^
−2
k
^
m, and
C
=−3
i
^
−
j
^
m, find the unknown constants a, b, and c such that a
A
+b
B
+c
C
=
k
^
. a=−11/25,b=7/25,c=1/25 a=9/25,b=−11/25,c=−1/5 a=7/25,b=−11/25,c=1/5 a=1/25,b=−7/25,c=11/25 a=11/25,b=−7/25,c=1/5
The value of a is 50, the value of b is 7, and the value of c is 1. Hence, the unknown constants a, b, and c such that aA+bB+cC=k^m are a=50, b=7, and c=1.
Given that:A = 2i^+3j^+k^m, B = i^+4j^−2k^m, and C = −3i^−j^m
We are to find the unknown constants a, b, and c such that aA+bB+cC=k^m.
So we can write the equation as (a, b, c) = k^m (2i^+3j^+k^m) + k^m (i^+4j^−2k^m) + k^m (−3i^−j^m)
Let us solve the equation (a, b, c) = k^m (2i^+3j^+k^m) + k^m (i^+4j^−2k^m) + k^m (−3i^−j^m)
Given expression can be written as (2k^m)i^ + (3k^m+4k^m-1)i^ + (-2k^m-3k^m) i^ = k^m i^ Now we know that k^m i^ = ai.
Thus, a= 2k^mIn the same way, we can get the values of b and c as follows: (3k^m+4k^m-1)j^ = bj.
Thus, b = 7k^m/25And, (-2k^m-3k^m) k^m j^ = cj^m.
Thus, c = k^m/25
Therefore, the value of a is 2k^m, the value of b is 7k^m/25, and the value of c is k^m/25.
Now, given k^m as the coefficient of the vectors, we can equate it to 1 to get the value of k^m.
Let k^m = 25. Now, putting this value in a, b, and c, we get:
a = 2k^m = 2 * 25
= 50, b
= 7k^m/25
= 7 * 25/25 = 7, and c = k^m/25
= 25/25
= 1
Therefore, the value of a is 50, the value of b is 7, and the value of c is 1.Hence, the unknown constants a, b, and c such that aA+bB+cC=k^m are a=50, b=7, and c=1.
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Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
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I need help please quick it's for a project due tonight I need all the parts
From our answer, he raced 1 1/3 (4/3) hours at 90 mph and 2/3 hours at 60 mph
Here, we want to fill the table based on the information presented in the question
We proceed as follows;
We will fill the table, line by line
First line;
a) Rate mph is 90
b) Time at this rate is f hours
Second line;
a) Time is l hours
b) Distance is the product of the rate and 60 mph and the time l which is 60l
So let us set up the system of equations;
a)
\(f\text{ + l = 2}\)b)
\(90\text{ F + 60 l = 160}\)Now, we need to solve this system of equations simultaneously
We have this as;
\(\begin{gathered} f\text{ + l = 2} \\ 90f\text{ + 60l = 160} \\ \\ \text{From i;} \\ f\text{ = 2-l} \\ \\ 90\text{ (2-l) + 60l = 160} \\ 180-90l\text{ + 60l = 160} \\ 30l\text{ = 180-60} \\ 30l\text{ = 20} \\ l\text{ = }\frac{20}{30}\text{ = }\frac{2}{3} \\ \\ f\text{ = 2-}\frac{2}{3}\text{ = }\frac{4}{3} \end{gathered}\)From our answer, he raced 1 1/3 (4/3) hours at 90 mph and 2/3 hours at 60 mph
Which net represents this solid figure?
Right rectangular prism is the net which represents the solid figure required figure
In three-dimensional space, prisms is a polyhedron where two ends are similar.
We want to find the solid figure.
Solids or three-dimensional forms in geometry are objects that have the three dimensions (length, width, and height).
From the given choices;
right rectangular prism is required figure.
Therefore, right rectangular prism is required figure.
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If the dimensions of a rectangular prism are 3 cm , 4 cm, and 10 cm, then it’s surface area is
Answer:
As Per Provided Information
Dimensions of rectangle prism are 3 cm , 4 cm and 10 cm .
We have been asked to determine it's surface area.
\( \underline{\boxed{\bf \: Surface \: Area_{(Rectangular \: Prism)} = 2(lw + hl + hw}}\)
where,
w denote width
h denote height
l denote length
\( \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \: 2(3 \times 4 + 4 \times 10 + 10 \times 3) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(12 + 40 + 30) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(82) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:164 \: {cm}^{2} \)
Therefore,
Surface area of rectangular prism is 164 cm².Answer:
Surface area of rectangular prism is 164cm²
Step-by-step explanation:
Given :-
Dimensions of rectangular prism is 3cm , 4cm, and 10cmTo find:-
Surface area of rectangular prismSolution:-
Surface area of rectangular prism :-
2(lb + bh + hl)
putting the known values ,
Surface Area = 2(3×4+4×10+10×3) cm²
Surface area = 2(12+40+30) cm³
Surface area = 164cm²
which points are solutions to the linear inequality y<0.5x+2 select three options. (-3,-2)(-2, 1)(-1, -2)(-1, 2)(1, -2)
The given inequality: y < 0.5x + 2
The coordinates of they satisfy the given inequality than they are the solutions of the inequality y < 0.5x + 2
Plot the given points on the given line, The points which are passes through the line is the solution of the given inequality:
The point (-1,2)
The points doenot pss through the line and lie in the shaded region
So, (-1,2) are not the solution of the given inequality:
Solution are :(-2, 1)
(1, -2)
Answer :
(-2, 1)
(1, -2)
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
what type of relationship does the following regression line represent? group of answer choices a positive relationship a negative relationship a curvilinear relationship no relationship
If the regression line is not a straight line, but rather a curve, then it may represent a curvilinear relationship. A positive relationship is when two variables increase together, a negative relationship is when one variable increases while the other decreases, and no relationship is when there is no pattern or correlation between the variables.
The given regression line represents a curvilinear relationship. In a curvilinear relationship, the pattern between the variables is not linear but rather follows a curve. This type of relationship can include both positive and negative trends within the same data set, making it different from strictly positive or negative linear relationships.
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(x, 7) (3, -1) has a slope that is undefined. Find the value of x
Based on the fact that the slope of the line is undefined, the value of x can be found to be 3.
What is an undefined slope?When a slope is said to be undefined, it means that the slope of the line does not show any horizontal movement. In other words, the value of the x points used to calculate the give a product of zero when subtracted.
The slope of a line can be found by the formula:
= (y2 - y1) / (x2 - x1)
For the slope to be undefined, the denominator needs to be zero:
= (-1 - 7) / (3 - x)
x will need to subtract 3 such that the result would be zero. So x will be 3.
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How can you use multiplication in your everyday life?
Answer:
On kitchen. Yes. there also we use multiplication. If we are trying to cook something from the recipe website, they tell to add 1 glass of water for 100 gm of rice. But we measure the amount of water based on the quantity of the rice. It’s simple multiplication.
Travelling with your friends. If we are travelling with our friends in a public transport facility like bus or metro, we need to buy multiple tickets. There we need to do multiplication.
Step-by-step explanation:
The graph shows the population of black toads in a forest reserve since their introduction. It also includes functions drawn by different
researchers to estimate the change in population of the toads.
Which function best models the researchers' data?
Function B best models the researcher's data because it passes through most of the points.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A graph of best fit can be determined by drawing a straight line or curve on a scatter plot so that the number of points above the line and below the line is about equal and the graph passes through most of the points.
Function B best models the researcher's data because it passes through most of the points.
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Select the correct answer.
What are the solutions to the equation x2 − 1 = 399?
A.
x
=
20
and
x
=
-
20
B.
x
=
200
and
x
=
-
200
C.
x
=
400
and
x
=
-
400
D.
Answer: C
Step-by-step explanation:
400 multiply by 2 equals 800
and then 800 subtracted by 400 will be 400
and 400 subtracted by 1 will be 399.
Therefore, answer is C
At a sale this week, a table is being sold for $211.20 . This is a 68% discount from the original price. What is the original price?
Answer:
$310.59
Step-by-step explanation:
68% of what number is 211.20
.68x = 211.20 Divide both sides by .68
x = 310.5882352968 Round to the nearest cent
x = 310.59
5.solve for x. 6.solve for x.
Answer:
5. The sum of angles in a triangle is 180° so we can write:
9x - 16 + 3x + 11 + 7x - 5 = 180
19x - 10 = 180
19x = 190
x = 10°
6. Because the measure of an exterior angle is equal to the sum of its two remote interior angles we can write:
17x - 23 = 3x + 17 + 8x - 4
17x - 23 = 11x + 13
6x = 36
x = 6°
Answer:
5. The sum of angles in a triangle is 180° so we can write:
9x - 16 + 3x + 11 + 7x - 5 = 180
19x - 10 = 180
19x = 190
x = 10°
6. Because the measure of an exterior angle is equal to the sum of its two remote interior angles we can write:
17x - 23 = 3x + 17 + 8x - 4
17x - 23 = 11x + 13
6x = 36
x = 6°
Step-by-step explanation:
hope this helps